Advances in Difference Equations
We first present several existence results and compactness of solutions set for the following Volterra type integral inclusions of the form: y(t) ∈ ∫0 t a(t-s)[Ay(s)+F(s,y(s)) ]ds,a.e.t ∈ J, where J=[ 0,b ], A is the infinitesimal generator of an integral resolvent family on a separable Banach space E, and F is a set-valued map. Then the Filippov's theorem and a Filippov-Waewski result are proved.
Agarwal, R. P., Benchohra, M., Nieto, J. J., & Ouahab, A. (2010). Some results for integral inclusions of volterra type in banach spaces. Advances in Difference Equations, 2010.